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Finding the Fourth Proportional to 30,670.32, 45,980.32 and 15,883.44

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Solution

The fourth proportional to 30,670.32, 45,980.32 and 15,883.44 is: 23,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.32 : 45,980.32 = 15,883.44 : x
  2. Step 2: Convert to fraction form
    30,670.32/45,980.32 = 15,883.44/x
  3. Step 3: Cross multiply
    30,670.32x = 45,980.32 × 15,883.44
  4. Step 4: Simplify right side
    30,670.32x = 730,325,653.90
  5. Step 5: Solve for x
    x = 730,325,653.90/30,670.32
  6. Step 6: Final answer
    x = 23,812.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.